The Conductivity Tensor for the Hubbard Model
F. Mancini (University of Salerno, Italy), D. Villani (Rutgers, University, USA)
TL;DR
This paper introduces a new theoretical approach to analyze the conductivity tensor in the Hubbard model using the Composite Operator Method with a static approximation, ensuring sum rule preservation and comparison with numerical results.
Contribution
It presents a novel static approximation within the Composite Operator Method for the Hubbard model that maintains sum rules and aligns with numerical findings.
Findings
The static approximation preserves key sum rules.
Results agree with numerical analyses.
Provides a new framework for conductivity analysis in the Hubbard model.
Abstract
A new theoretical analysis of the current-charge and charge-charge propagators is presented for the Hubbard model, using the static approximation for the Composite Operator Method. This approximation manifestly preserves a sum rule which governs the single-site dynamics. We compare our results with those obtained by numerical analysis.
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